Magma V2.19-8 Tue Aug 20 2013 16:08:54 on localhost [Seed = 846441607] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m105 geometric_solution 3.53025965 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 3 2 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.266596707911 0.790110212632 0 3 4 4 0132 3201 0213 0132 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.954947736843 1.877433242776 0 0 2 2 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.310588204097 0.092763676156 4 4 1 0 3201 2031 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.954947736843 1.877433242776 3 1 1 3 1302 0213 0132 2310 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.012774314137 0.532335566169 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0110_2'], 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : negation(d['c_0110_2'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 37000/123*c_0110_2^8 + 32475/41*c_0110_2^7 + 25553/123*c_0110_2^6 - 118231/123*c_0110_2^5 - 64993/123*c_0110_2^4 + 28091/41*c_0110_2^3 + 38980/123*c_0110_2^2 - 46031/123*c_0110_2 + 8719/123, c_0011_0 - 1, c_0011_3 - 8*c_0110_2^8 - 17*c_0110_2^7 + 5*c_0110_2^6 + 28*c_0110_2^5 + c_0110_2^4 - 25*c_0110_2^3 + c_0110_2^2 + 15*c_0110_2 - 6, c_0011_4 + 200/41*c_0110_2^8 + 305/41*c_0110_2^7 - 636/41*c_0110_2^6 - 1409/41*c_0110_2^5 - 139/41*c_0110_2^4 + 1143/41*c_0110_2^3 + 224/41*c_0110_2^2 - 550/41*c_0110_2 + 95/41, c_0101_3 - 3000/41*c_0110_2^8 - 7855/41*c_0110_2^7 - 2022/41*c_0110_2^6 + 9491/41*c_0110_2^5 + 5119/41*c_0110_2^4 - 6772/41*c_0110_2^3 - 2950/41*c_0110_2^2 + 3740/41*c_0110_2 - 810/41, c_0110_2^9 + 17/8*c_0110_2^8 - 5/8*c_0110_2^7 - 7/2*c_0110_2^6 - 1/8*c_0110_2^5 + 25/8*c_0110_2^4 - 1/8*c_0110_2^3 - 7/4*c_0110_2^2 + 7/8*c_0110_2 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB